Development and Application of the Finite Element Method based on Matlab
The intention of this booklet is a brief but general introduction into the treatment of the Finite Element Method (FEM). The FEM has become the leading method in computer–oriented mechanics, so that many scientific branches have grown up besides over the
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Herbert Baaser
Development and Application of the Finite Element Method based on M ATLAB
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Dr.-Ing. Herbert Baaser Private Lecturer at Darmstadt University of Technology – FB 13/Solid Mechanics Hochschulstr. 1 64289 Darmstadt, Germany and Senior Scientist at Freudenberg R&D Services 69465 Weinheim, Germany E-mail: [email protected]
ISBN 978-3-642-13152-3
e-ISBN 978-3-642-13153-0
DOI 10.1007/978-3-642-13153-0 Library of Congress Control Number: 2010926861 c 2010 Springer-Verlag Berlin Heidelberg This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Typesetting: Data supplied by the authors Production & Cover Design: Scientific Publishing Services Pvt. Ltd., Chennai, India Printed on acid-free paper 987654321 springer.com
To my family with respect, thanks and honor.
Preface
The intention of this booklet is a brief but general introduction into the treatment of the Finite Element Method (FEM). The FEM has become the leading method in computer–oriented mechanics, so that many scientific branches have grown up besides over the last decades. Nevertheless, the FEM today is a question of economy. On the one hand its industrial application is forced to reduce product development costs and time, on the other hand a large number of commercial FEM codes and a still growing number of software for effective pre– and postprocessors are available in the meantime. Due to that, today it is a quite challenging task to operate with all these different tools at the same time and to understand all handling and solution techniques developed over the last years. So, we want to help in getting a deeper insight into the main “interfaces” between the “customers of the FEM” and the codes itself by providing a totally open structured FE–code based on Matlab, which is a very powerful tool in operating with matrix based formulations. That idea and conditions forced us some years ago to initiate DAEdalon as a tool for general FE developments in research applications. In spite of still existing high sophisticated – mostly commercial – FE codes, the success and the acceptance of such a structured tool justify that decision afterwards more and more. In the main focus are students of applied mechanics, mechanical and civil engineering sciences and in
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